On the Dimension of Graph Codes with Reed–Solomon Component Codes

Peter  Beelen; Tom Høholdt; Fernando Pinero; Jørn Justesen

doi:10.1109/ISIT.2013.6620422

On the Dimension of Graph Codes with Reed–Solomon Component Codes

Peter Beelen
, Tom Høholdt
, Fernando Pinero
, Jørn Justesen

Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review

Abstract

We study a class of graph based codes with Reed-Solomon component codes as affine variety codes. We give a formulation of the exact dimension of graph codes in general. We give an algebraic description of these codes which makes the exact computation of the dimension of the graph codes easier.

Original language	English
Title of host publication	2013 IEEE International Symposium on Information Theory Proceedings (ISIT)
Publisher	IEEE
Publication date	2013
Pages	1227-1231
ISBN (Print)	978-1-4799-0446-4
DOIs	https://doi.org/10.1109/ISIT.2013.6620422
Publication status	Published - 2013
Event	2013 IEEE International Symposium on Information Theory - Istanbul, Turkey Duration: 7 Jul 2013 → 12 Jul 2013 http://www.isit2013.org/

Conference

Conference	2013 IEEE International Symposium on Information Theory
Country/Territory	Turkey
City	Istanbul
Period	07/07/2013 → 12/07/2013
Internet address	http://www.isit2013.org/

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10.1109/ISIT.2013.6620422

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@inproceedings{0f3d0d35765340e98548a5d40abc1666,

title = "On the Dimension of Graph Codes with Reed–Solomon Component Codes",

abstract = "We study a class of graph based codes with Reed-Solomon component codes as affine variety codes. We give a formulation of the exact dimension of graph codes in general. We give an algebraic description of these codes which makes the exact computation of the dimension of the graph codes easier.",

author = "Peter Beelen and Tom H{\o}holdt and Fernando Pinero and J{\o}rn Justesen",

year = "2013",

doi = "10.1109/ISIT.2013.6620422",

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booktitle = "2013 IEEE International Symposium on Information Theory Proceedings (ISIT)",

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note = "2013 IEEE International Symposium on Information Theory, ISIT 2013 ; Conference date: 07-07-2013 Through 12-07-2013",

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AU - Beelen, Peter

AU - Høholdt, Tom

AU - Pinero, Fernando

AU - Justesen, Jørn

PY - 2013

Y1 - 2013

N2 - We study a class of graph based codes with Reed-Solomon component codes as affine variety codes. We give a formulation of the exact dimension of graph codes in general. We give an algebraic description of these codes which makes the exact computation of the dimension of the graph codes easier.

AB - We study a class of graph based codes with Reed-Solomon component codes as affine variety codes. We give a formulation of the exact dimension of graph codes in general. We give an algebraic description of these codes which makes the exact computation of the dimension of the graph codes easier.

U2 - 10.1109/ISIT.2013.6620422

DO - 10.1109/ISIT.2013.6620422

M3 - Article in proceedings

SN - 978-1-4799-0446-4

SP - 1227

EP - 1231

BT - 2013 IEEE International Symposium on Information Theory Proceedings (ISIT)

PB - IEEE

T2 - 2013 IEEE International Symposium on Information Theory

Y2 - 7 July 2013 through 12 July 2013

ER -

On the Dimension of Graph Codes with Reed–Solomon Component Codes

Abstract

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